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Finding the Fourth Proportional to 205.69, 283.41 and 140.08

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Solution

The fourth proportional to 205.69, 283.41 and 140.08 is: 193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.69 : 283.41 = 140.08 : x
  2. Step 2: Convert to fraction form
    205.69/283.41 = 140.08/x
  3. Step 3: Cross multiply
    205.69x = 283.41 × 140.08
  4. Step 4: Simplify right side
    205.69x = 39,700.07
  5. Step 5: Solve for x
    x = 39,700.07/205.69
  6. Step 6: Final answer
    x = 193.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.